文[1]、[2]研究了正项等差数列方幂的不等式,本文研究由递增正项二阶等差数列若干项构成的不等式.为了简便起见,以下约定{an}是递增正项二阶等差数列,bn=an+1-an,{bn}的公差为d,其前n项和为Sn,m,k,n,p为正整数.引理d0,an+1=Sn+a1.证设an=an2+bn+c,a,b,c∈R,且a0.∵bn=an+1-an In [1] and [2], we studied the inequality of the exponential exponent of a positive exponential series. In this paper, we study the inequalities formed by several terms of an increasing positive term second-order arithmetic series. For brevity, the following convention {an} is an incremental positive term. Second-order arithmetic series, bn=an+1-an, the tolerance of {bn} is d, and the sum of the first n terms is Sn,m,k,n,p is a positive integer. Lemma d0, an+1=Sn +a1. Prove that an=an2+bn+c,a,b,c∈R, and a0.∵bn=an+1-an